a) Three measures, carried out with an alcoholmeter, to a men suspected of driving drunken, give: 0.54 - 0.52 - 55 g of alcohol per liter of blood. From these data, the police deduce that he surpasses the maximum limit allowed to drive (0.50 g/L) for a significance level of 0.05, while the driver considers that the result is not significantly different from the limit. Discuss the decision of the police and the argument of the driver, justifying the answer from the pertinent statistical tests. What is the probability of the police to be mistaken (i.e. the probability that the driver does not surpass the limit allowed)? b) To contrast the data, four blood tests of the driver are also done with the results: 0.51 - 0.54 - 0.51 - 52 g of alcohol per liter of blood. The driver argues that the obtained results demonstrate that the alcoholmeter gives values higher than those of the blood test. Is this affirmation statistically right for a=0.05? c) In order to demonstrate that the alcoholmeter gives the same results than the blood test, the police apply both tests to five volunteers chosen randomly with the results: Volunteer: 1 2 3 4 5 Alcoholmeter (g/L) 0.15 0.01 0.09 0.80 0.26 Blood analysis (g/L) 0.13 0.02 0.06 0.81 0.25 Is there a significant difference between the results of both methods for a significance level of 0.05?

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

EXERCISE 1:

a) Three measures, carried out with an alcoholmeter, to a men suspected of driving drunken, give: 0.54 - 0.52 - 55 g of alcohol per liter of blood. From these data, the police deduce that he surpasses the maximum limit allowed to drive (0.50 g/L) for a significance level of 0.05, while the driver considers that the result is not significantly different from the limit. Discuss the decision of the police and the argument of the driver, justifying the answer from the pertinent statistical tests. What is the probability of the police to be mistaken (i.e. the probability that the driver does not surpass the limit allowed)?
b) To contrast the data, four blood tests of the driver are also done with the results: 0.51 - 0.54 - 0.51 - 52 g of alcohol per liter of blood. The driver argues that the obtained results demonstrate that the alcoholmeter gives values higher than those of the blood test. Is this affirmation statistically right for a=0.05?
c) In order to demonstrate that the alcoholmeter gives the same results than the blood test, the police apply both tests to five volunteers chosen randomly with the results: